Extracting the spectral density function of a binary composite without a priori assumptions
- The spectral representation separates the contributions of geometrical arrangement (topology) and intrinsic constituent properties in a composite. The aim of this Brief Report is to present a numerical algorithm based on the Monte Carlo integration and constrained least-squares methods to resolve the spectral density function for a given system. The numerical method is verified by testing it on the well-known Maxwell Garnett expression. Later, it is applied to a well-studied rock-and-brine system to instruct its utility. The presented method yields significant microstructural information in improving our understanding of how microstructure influences the macroscopic behavior of composites without any intricate mathematics
